White to move. Find the absolute best continuation for white.
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Qe6?
Nf6+ Rxf6
Re8+ Rf8
Qe6#
Qe6+ kr1
Nxf8 (Kxf8 Rh8+)Bxf1 Rh8+ Kxh8 Qh7#
Mate in 4.
1. Qe6+ Rf7 (1. … Kh8 2. Ng5+ gxh6 3. Qxh6+ Kg8 4. Qh7 mate) 2. Qe8+ Rf8 (2. … Rxe8 3. Rxe8+ Rf8 4. Rxf8 mate) 3. Nf6+ gxf6 4. Qg6 mate
Nf6 check – R*f6 (forced)
Qh7 check – Kf8 (forced)
Qh8 checkmate
Nf6+ Rxf6
Qh7+ Kf8
Qh8+
Nf6+ Rf6; Re8+ Rf8; Qe6#
The best continuation for white is a forced mate in 4!
1.Qe6+!!.
A>1……Kh8.2.Ng5+!.gxh6.3.Qxh6+!.Kg8.4.Qh7#!
B>1……Rf7.2.Qe8+!.
B1>>2…Rxe8.3.Rxe8+!.Rf8.4.Rxf8#!!
B2>>2…Rf8.3.Nf6+!!.gxf6.4.Qg6#!
Nf6
Many ways possible…
1.Qe6+ Kh8
2.Ng5+ gxh6
3.Qxh6+ Kg8
4.Qh7#
OR
1.Qe6+ Rf7
2.Qe8+ Rxe8
3.Rxe8+ Rf8
4.Rxf8#
OR
1.Qe6+Rf7
2.Qe8+Rf8
3.Nf6+gxf6
4.Qg6#
NF6, RxF6, RE8, RxE8, QxE8(mate)?